In fig AB, CD, XY are chords of
the circle, which meet at P
AP=9cm, AB=13cm, PD = 12cm
find a co
b) If px = PY then find xy
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HELLO
PX=PY.. (
THE VALUE OF XY -9+9-18
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In circle, Point P is the centre of the circle.
segAB, segCD & segXY are the chords of the circle.
PD=12cm, AP=9cm, AB=13cm
So, PB=4cm
PX=PY
Let, PX = PY = x
By internal division of chords AB & XY,
PA × PB = PX × PY
9 × 4 = x × x
36 = x²
By taking square roots,
x = 6cm
Hence, PX = PY = 6cm.
Now,
XY = PX + PY
XY = 6 + 6 = 12cm.
Therefore, Length of Chord XY is 12cm.
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